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Finding the Fourth Proportional to 24,783.75, 34,201.26 and 13,453.25

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Solution

The fourth proportional to 24,783.75, 34,201.26 and 13,453.25 is: 18,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783.75 : 34,201.26 = 13,453.25 : x
  2. Step 2: Convert to fraction form
    24,783.75/34,201.26 = 13,453.25/x
  3. Step 3: Cross multiply
    24,783.75x = 34,201.26 × 13,453.25
  4. Step 4: Simplify right side
    24,783.75x = 460,117,930.09
  5. Step 5: Solve for x
    x = 460,117,930.09/24,783.75
  6. Step 6: Final answer
    x = 18,565.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.